213004313 has 2 divisors, whose sum is σ = 213004314. Its totient is φ = 213004312.

The previous prime is 213004277. The next prime is 213004343. The reversal of 213004313 is 313400312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183006784 + 29997529 = 13528^2 + 5477^2 .

It is a cyclic number.

It is not a de Polignac number, because 213004313 - 2¹⁶ = 212938777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213004291 and 213004300.

It is not a weakly prime, because it can be changed into another prime (213004343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106502156 + 106502157.

It is an arithmetic number, because the mean of its divisors is an integer number (106502157).

Almost surely, 2^213004313 is an apocalyptic number.

It is an amenable number.

213004313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213004313 is an equidigital number, since it uses as much as digits as its factorization.

213004313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 213004313 is about 14594.6672795237. The cubic root of 213004313 is about 597.2132928843.

Adding to 213004313 its reverse (313400312), we get a palindrome (526404625).

The spelling of 213004313 in words is "two hundred thirteen million, four thousand, three hundred thirteen".